Department of

Mathematics


Seminar Calendar
for events the day of Friday, December 2, 2005.

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Friday, December 2, 2005

3:00 pm in 141 Altgeld Hall,Friday, December 2, 2005

Symplectic Anosov structures on Riemann

Anna Wienhard (IAS)

Abstract: Flat $G$-bundles on Riemannian manifold M are parametrised by representations of the fundamental group $\pi_1(M)$ into $G$. I will explain that for a special subset of the space of representations of a surface group into the symplectic group $Sp(2n,R)$ we can construct a splitting into two (non-flat) Lagrangian subbundles. Contraction and expanding properties of these subbundles imply that the holonomy representations of these symplectic vector bundles are quasiisometric embeddings, in particular they are faithful with discrete image. These special subsets of the space of representations can be viewed as generalized Teichm\"uller space. If time permits I will explain some relations with other moduli spaces.

4:00 pm in 341 Altgeld Hall,Friday, December 2, 2005

On strongly non locally compact Polish groups.

Maciej Malicki (UIUC Math)

Abstract: A Polish group is called strongly non locally compact if for no open neighborhood of identity U we have that, given another such neighborhood V, there is a covering of U by a finite family of two- sided translates of V. I will discuss some motivations for this notion, formulate some general results along with particular examples of strongly non locally compact groups.